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Exam-Style Question on Error Bounds

A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 546. This question is similar to one that appeared on a GCSE Higher paper in 2019. The use of a calculator is allowed.

(a) Calculate the upper bound for the value of A giving your answer correct to 6 significant figures if:

$$ A = \frac{3b}{2c^2} $$

\(b = 7.4\) correct to 2 significant figures and \(c = 4.38\) correct to 3 significant figures.


(b)The lower bound for the value of A is 0.573376 correct to 6 significant figures.

By considering bounds, write down the value of A to a suitable degree of accuracy. You must give a reason for your answer.

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If you need more practice try the self-checking interactive exercises called Upper and Lower Bounds.

The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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